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54728808001 = 731937263863
BaseRepresentation
bin110010111110000101…
…110101011001000001
312020021010220111200221
4302332011311121001
51344041033324001
641050404143041
73645142123000
oct627605653101
9166233814627
1054728808001
1121234a9253a
12a734697a81
13521267907a
14291279ac37
151654acd1a1
hexcbe175641

54728808001 has 64 divisors (see below), whose sum is σ = 69341184000. Its totient is φ = 43025992128.

The previous prime is 54728807933. The next prime is 54728808083. The reversal of 54728808001 is 10080882745.

54728808001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54728808001 - 211 = 54728805953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54728808401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63416496 + ... + 63417358.

It is an arithmetic number, because the mean of its divisors is an integer number (1083456000).

Almost surely, 254728808001 is an apocalyptic number.

It is an amenable number.

54728808001 is a deficient number, since it is larger than the sum of its proper divisors (14612375999).

54728808001 is a wasteful number, since it uses less digits than its factorization.

54728808001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 54728808001 in words is "fifty-four billion, seven hundred twenty-eight million, eight hundred eight thousand, one".

Divisors: 1 7 19 37 49 133 259 263 343 703 863 931 1813 1841 4921 4997 6041 6517 9731 12691 12887 16397 31931 34447 34979 42287 68117 90209 114779 184889 223517 226969 241129 244853 296009 476819 606689 803453 1294223 1564619 1588783 1713971 3337733 4246823 4312411 5624171 8397853 9059561 10952333 11121481 29727761 30186877 58784971 63416927 77850367 159559207 208094327 211308139 411494797 1116914449 1479156973 2880463579 7818401143 54728808001